自然数n次幂的求和公式及其因式分解的Matlab求解

摘要

应用待定系数法研究了自然数n次幂的求和公式及其因式分解的计算机符号推导，并给出线性方程组中系数矩阵所对应的n=1-16的条件数，同时将该方法应用到所有的自然数的多项式函数求和公式及其因式分解。%With the method of undetermined coefficients, this paper studies the sum formula of the nth power and its factorization by the computer symbolic derivation. It also gives the condition number of n=1-16 for the coefficient matrix in linear equations. In addition, this method can also be applied to the polynomial function sum formulas and factorization of all the natural numbers.